DICLEUNIVERSITY

SCIENCE INSTITUTE

Department of Mathematics

COURSE INFORMATION PACKAGE

Course Code / Optic Code / Consultation Hours / T+A / Credit / ECTS
504022 / 10504022 / To be announced / 3+0 / 3 / 8
Course Title / INTRODUCTION TO THE THEORY OF ENTIRE FUNCTIONS II
Year / Semester / -6 / SPRING
Status / SELECTIVE
Programme’s Name / DOKTORATE
Language of Instruction / TURKISH
Prerequisites / NO
Disable Students / Disable students can request the information about their own status to the related instructor in order to provision of necessary convenience if necessary..
Student Responsibilities / In order to content of course, to get ready, to participate, and responsibilities, which are homework, project, disputation, and reading the interested parts, about course have to be performed
Lecturer / Prof. Dr. Sezai OĞRAŞ, DicleUniversity Faculty of Art and Science Department of Mathematics
21280 Diyarbakır, Tel:(+90) 412 2488550/3143, Fax: (+90) 412 2488039
Course Assistant / NO
Course Objectives /

To Teach advanced concepts and topics in Theory of Complex Functions

Learning Outcomes / At the end of the course, Students will be able to
- learn The Gamma Function
-understand Analytic Continuation of Gamma Function
- be familiar with Mittage-Leffler Theorem
- use the minimum Modulus
- learn Theorems of Phragmén and Lindelöf,
- define The Indicator Function
- understand behavior of term
- define-Points of an Entire Function
- be familiar with Exceptional -Values
- learn Asymptotic Values
504022 / 10504022 / INTRODUCTION TO THE THEORY OF ENTIRE FUNCTIONS II / 3+0 / 3 / 8
Contents, learning activities
Week / Topic / Learning Activities
1 / The Gamma Function / understand the Gamma Function
2 / Analytic Continuation of Gamma Function / define Analytic Continuation of Gamma Function and give examples
3 / Conjugate Points / learn Conjugate Points
4 / Mittage-Leffler Theorem / discuss Mittage-Leffler Theorem and ask questions
5 / Functions With Real Zeros Only / Learn Functions with real Zeros only
6 / The minimum Modulus / understand The minimum Modulus
7 / Sequences of Functions / give Sequences of Functions,and solve problem related subject
8 / Theorems of Phragmén and Lindelöf, / prove Theorems of Phragmén and Lindelöf,
9 / The Indicator Function / definite The Indicator Function
10 / Exam / ask questions related subjects
11 / Behavior of / investigate behavior of term
12 / -Points of an Entire Function / discuss -Points of an Entire Function
13 / Borel’s Theorem / give Borel’s Theorem
14 / Exceptional -Values / definite Exceptional -Values (Valiron and Picard)
15 / Asymptotic Values / give Asymptotic Values
Assessment criteria / Type of Criteria / If any, mark as x / Percent (%) / Note
Midterm Exams / X / 30 / Will be given points to determine his marks of this course in certain percentages with respect to activities during the process have been realized by student in the class
Quizzes / X / 10
Homeworks / Term Paper / Presentation / X / 5
Projects / X / 10
Attendance & cover a subject / X / 5
Others (in training, field survey, thesis preparation etc).
Final Exam / X / 40
Textbook / Material / Introduction To The Theory of Entire Functions : A. S. B. Holland, Academic Press-1973
Recommended Reading
Regulating / Discipline of Mathematical Analysis in Mathematics
  1. Efficiency examples: Contribution to course, homework activities, seminars, study in laboratory, scanning on paper and books, observation, contribution to activities, sample study on case, etc.
  2. Course’s time is determined according to examination, quiz, homework, project, and contribution to class.
  3. Average mark about course is determined by above activities and booked down student information system of university.
  4. Midterm exam will be planned between 7 and 10’th week of semester by related lecturer.
  5. ECTS calculation form will contain checkout of course.
  6. Checkout course paper will be given to students at beginning of each semester.